Metrics for Linear.Quaternion:$c/ from linear-1.19.1.3, A

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 17 to 10 computations (41.2% saved)

sample948.0ms (15.1%)

Memory

12.2MiB live, 1 074.4MiB allocated

Samples

738.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 468.0ms

ival-mult: 284.0ms (60.7% of total)

ival-add: 174.0ms (37.2% of total)

ival-true: 6.0ms (1.3% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

preprocess66.0ms (1.1%)

Memory

-4.0MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Rules

726×	`unsub-neg`
312×	`sub-neg`
286×	`associate-+l-`
256×	`cancel-sign-sub`
210×	`distribute-lft-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	142
1	104	120
2	235	82
3	602	81
4	1131	81
5	1497	81
6	2068	81
7	2586	81
8	2644	81
9	2644	81
0	8	15
1	15	13
2	25	9
3	37	9
4	45	9
5	48	9
0	48	8

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))

Symmetry

(abs z)

(sort x y)

explain150.0ms (2.4%)

Memory

-2.7MiB live, 211.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
4	-	-	`(+.f64 (.f64 x y) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
1	-	-	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`
0	-	-	`y`
0	-	-	`(*.f64 z z)`
0	-	-	`z`
0	-	-	`(*.f64 x y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`+.f64`	`(+.f64 (.f64 x y) (.f64 z z))`	nan-rescue	4	0
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z z)`	overflow	56
`+.f64`	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	overflow	77
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	77
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z z)`	overflow	112
↳	`(*.f64 z z)`	overflow	56
`+.f64`	`(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))`	nan-rescue	1	0
↳	`(+.f64 (.f64 x y) (.f64 z z))`	overflow	77
↳	`(*.f64 x y)`	overflow	31
↳	`(*.f64 z z)`	overflow	56
↳	`(*.f64 z z)`	overflow	56

Confusion

	Predicted +	Predicted -
+	4	0
-	0	252

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	4	0	0
-	0	0	252

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	252
1	3
3	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

71.0ms

512×

valid

Compiler

Compiled 124 to 36 computations (71% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 49.0ms (87% of total)

ival-add: 6.0ms (10.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.4%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Compiler

Compiled 18 to 8 computations (55.6% saved)

simplify6.0ms (0.1%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	320	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	cost-diff	384	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Rules

58×	`accelerator-lowering-fma.f32`
58×	`accelerator-lowering-fma.f64`
36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
30×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	42
1	15	38
2	25	34
3	37	34
4	45	34
5	48	34
0	48	31

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (* x y) (* z z)) (* z z))
(+ (* x y) (* z z))
(* x y)
x
y
(* z z)
z

Outputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(+ (+ (* x y) (* z z)) (* z z))
(fma.f64 z (+.f64 z z) (*.f64 x y))
(+ (* x y) (* z z))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
z

localize31.0ms (0.5%)

Memory

-18.4MiB live, 57.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	99.6%	(+.f64 (+.f64 (.f64 x y) (.f64 z z)) (*.f64 z z))
✓	accuracy	99.5%	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
✓	accuracy	98.7%	(+.f64 (.f64 x y) (.f64 z z))

Samples

17.0ms

256×

valid

Compiler

Compiled 44 to 10 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-add: 6.0ms (64.4% of total)

ival-mult: 3.0ms (32.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Counts

4 → 132

Calls

Call 1

Inputs
#<alt (+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))>
#<alt (+ (+ (* x y) (* z z)) (* z z))>
#<alt (+ (* x y) (* z z))>
#<alt (* x y)>

Outputs
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
1.0ms	y	@	inf	(* x y)
0.0ms	y	@	-inf	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
0.0ms	z	@	inf	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
0.0ms	x	@	inf	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite674.0ms (10.7%)

Memory

-18.9MiB live, 633.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 458×	`accelerator-lowering-fma.f32`
10 458×	`accelerator-lowering-fma.f64`
4 638×	`-lowering-.f32`
4 638×	`-lowering-.f64`
3 250×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	36
1	50	32
2	512	26
3	7569	26
0	8173	23

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 324

Calls

Call 1

Inputs
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))
(+ (+ (* x y) (* z z)) (* z z))
(+ (* x y) (* z z))
(* x y)

Outputs
(+.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z)))
(+.f64 (.f64 z z) (fma.f64 z (+.f64 z z) (.f64 x y)))
(+.f64 (fma.f64 x y (.f64 z z)) (.f64 z (+.f64 z z)))
(+.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (.f64 z z))
(+.f64 (.f64 z (+.f64 z z)) (fma.f64 x y (.f64 z z)))
(+.f64 (/.f64 (.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 z (+.f64 z z) (.f64 x y))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (*.f64 x y))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (-.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (*.f64 z (+.f64 z z))))
(-.f64 (.f64 (fma.f64 x y (.f64 z z)) (/.f64 (fma.f64 x y (.f64 z z)) (fma.f64 x y #s(literal 0 binary64)))) (-.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 x y #s(literal 0 binary64))) (*.f64 z z)))
(-.f64 (/.f64 (.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 z (+.f64 z z) (.f64 x y))) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (neg.f64 (fma.f64 x y (.f64 z z)))) (/.f64 (.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 z (+.f64 z z) (.f64 x y))) (neg.f64 (fma.f64 x y (.f64 z z)))))
(-.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z z)) (fma.f64 x y (.f64 z z))) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 z z))) (/.f64 (.f64 z (+.f64 z z)) (-.f64 (fma.f64 x y #s(literal 0 binary64)) (.f64 z z))))
(-.f64 (fma.f64 z z (.f64 (fma.f64 x y (.f64 z z)) (/.f64 (fma.f64 x y (.f64 z z)) (fma.f64 x y #s(literal 0 binary64))))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 x y #s(literal 0 binary64))))
(-.f64 (fma.f64 z (+.f64 z z) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z)))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 y x (.f64 #s(literal 3 binary64) (.f64 z z)))
(fma.f64 z z (fma.f64 z (+.f64 z z) (*.f64 x y)))
(fma.f64 z (+.f64 z z) (fma.f64 x y (*.f64 z z)))
(fma.f64 z (+.f64 z (+.f64 z z)) (*.f64 x y))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 z (.f64 (+.f64 z z) (.f64 z (+.f64 z z))) (fma.f64 x y (*.f64 z z)))
(fma.f64 (.f64 z z) #s(literal 2 binary64) (fma.f64 x y (.f64 z z)))
(fma.f64 (.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (fma.f64 x y (*.f64 z z)))
(fma.f64 (fma.f64 x y (.f64 z z)) (.f64 (-.f64 (.f64 x y) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z z)))) (*.f64 z (+.f64 z z)))
(fma.f64 (fma.f64 x y (.f64 z z)) (/.f64 (-.f64 (.f64 x y) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (.f64 z (+.f64 z z)))
(fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (.f64 (fma.f64 x y #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 0 binary64)))) (*.f64 z z))
(fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (/.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (/.f64 (.f64 (.f64 z z) (*.f64 z z)) (fma.f64 x y (fma.f64 z z #s(literal 0 binary64))))))
(fma.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (/.f64 (fma.f64 x y #s(literal 0 binary64)) (fma.f64 x y #s(literal 0 binary64))) (.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (fma.f64 x y (.f64 z z)))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 z z) (.f64 z (+.f64 z z))) (fma.f64 x y (.f64 z z)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z)))) (.f64 z (+.f64 z z)))
(fma.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (fma.f64 x y (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))) (*.f64 z (+.f64 z z)))
(fma.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 (fma.f64 x y (.f64 z z)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z)))) (.f64 z (+.f64 z z)))
(fma.f64 (.f64 (fma.f64 z (+.f64 z z) (.f64 x y)) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (fma.f64 x y (.f64 z z)) (fma.f64 x y #s(literal 0 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z (.f64 z z)) (.f64 (fma.f64 x y (.f64 z z)) (fma.f64 x y #s(literal 0 binary64))))) (*.f64 z z))
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(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (-.f64 (.f64 x y) (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z)))))
(fma.f64 (.f64 y (.f64 x y)) (/.f64 x (-.f64 (.f64 x y) (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z)))))
(fma.f64 (.f64 x (.f64 x y)) (/.f64 y (-.f64 (.f64 x y) (.f64 z z))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z)))))
(fma.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 z)) (*.f64 x y))
(fma.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z)))) (fma.f64 x y (.f64 z z)) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z)))))
(fma.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z z) (fma.f64 x y (.f64 z z)))) (neg.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z)))))
(neg.f64 (neg.f64 (fma.f64 x y (*.f64 z z))))
(/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z))))
(/.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z)))
(/.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z)))) (neg.f64 (-.f64 (.f64 x y) (.f64 z z))))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))))) (.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))))))
(/.f64 (.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 z z) (.f64 (.f64 z z) (*.f64 z z))))))
(/.f64 (.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (.f64 (-.f64 (.f64 x y) (.f64 z z)) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z z))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) (.f64 x y)) (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 z z) (.f64 x y)))))
(/.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 z z) (.f64 x y))) (-.f64 (.f64 z z) (.f64 x y)))
(/.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z)))) (.f64 (-.f64 (.f64 x y) (.f64 z z)) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z z) (.f64 z z)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (.f64 (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (-.f64 (.f64 x y) (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))))) (neg.f64 (neg.f64 (-.f64 (.f64 x y) (.f64 z z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 z z) (.f64 x y)))) (neg.f64 (-.f64 (.f64 z z) (.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (fma.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z)))) (.f64 (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))))) (fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 (.f64 z z) (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) #s(literal 1 binary64)) (-.f64 (.f64 x y) (*.f64 z z)))
(/.f64 (.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) #s(literal 1 binary64)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))) (fma.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (-.f64 (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 z z) (.f64 (.f64 z z) (*.f64 z z)))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z z)))) (fma.f64 (.f64 (.f64 z z) (.f64 z z)) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z z)))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z z) (.f64 z z))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y (*.f64 z z))) #s(literal -1 binary64))
(.f64 (fma.f64 x y (.f64 z z)) (.f64 (-.f64 (.f64 x y) (.f64 z z)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z z)))))
(.f64 (fma.f64 x y (.f64 z z)) (/.f64 (-.f64 (.f64 x y) (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))))
(.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z)))))
(.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (.f64 (fma.f64 x y (.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (*.f64 z z))))))
(.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (/.f64 (fma.f64 x y (.f64 z z)) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z)))))
(.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z z))))
(.f64 (neg.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))))))
(.f64 (neg.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 x y) (*.f64 z z)))))
(.f64 #s(literal 1 binary64) (fma.f64 x y (.f64 z z)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z z))) (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (*.f64 z z))))
(.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 z z) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (*.f64 x y))))
(.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z)))) (fma.f64 x y (.f64 z z)))
(.f64 (/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (fma.f64 (.f64 z (.f64 z (-.f64 (.f64 z z) (.f64 x y)))) (.f64 (.f64 (.f64 z z) (.f64 z z)) (.f64 (-.f64 (.f64 z z) (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))))))) (fma.f64 (.f64 z (.f64 z (-.f64 (.f64 z z) (.f64 x y)))) (-.f64 (.f64 z (.f64 z (-.f64 (.f64 z z) (.f64 x y)))) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))
(.f64 (/.f64 (fma.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z)))) (.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 (.f64 z z) (.f64 z z))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (neg.f64 (.f64 z z)) (-.f64 (.f64 z z) (.f64 x y)))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (neg.f64 (.f64 z z)) (-.f64 (.f64 z z) (*.f64 x y)))))
(.f64 (/.f64 (.f64 (fma.f64 x y (.f64 z z)) (-.f64 (.f64 x y) (.f64 z z))) (-.f64 (.f64 x (.f64 y (.f64 x (.f64 y (.f64 x y))))) (.f64 (.f64 z z) (.f64 (.f64 z z) (.f64 z z))))) (fma.f64 x (.f64 y (.f64 x y)) (.f64 (.f64 z z) (fma.f64 x y (.f64 z z)))))
(*.f64 x y)
(*.f64 y x)

simplify277.0ms (4.4%)

Memory

-2.7MiB live, 393.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 428×	`accelerator-lowering-fma.f32`
8 428×	`accelerator-lowering-fma.f64`
4 020×	`-lowering-.f32`
4 020×	`-lowering-.f64`
1 038×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)

Outputs
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* x y)
(*.f64 x y)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(* x y)
(*.f64 x y)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 x y))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 x y))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 z z (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 x y))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 z z (*.f64 x y))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 x y))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 x y))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 z z (*.f64 x y))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 x y))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 z z (*.f64 x y))
(* x y)
(*.f64 x y)
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(+ (* x y) (pow z 2))
(fma.f64 z z (*.f64 x y))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 x y))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 x y))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 x y))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 x y))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 x y))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 z z (*.f64 x y))
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)

eval77.0ms (1.2%)

Memory: 9.2MiB live, 118.1MiB allocated
Compiler: Compiled 16 352 to 1 001 computations (93.9% saved)

prune98.0ms (1.6%)

Memory

6.6MiB live, 138.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	449	7	456
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	450	7	457

Accuracy

100.0%

Counts

457 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
	98.7%	(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
▶	98.4%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
	36.8%	(/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z))))
▶	78.4%	(+.f64 (.f64 x y) (.f64 z z))
▶	52.1%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	57.7%	(*.f64 x y)

Compiler

Compiled 188 to 100 computations (46.8% saved)

simplify8.0ms (0.1%)

Memory

-25.1MiB live, 12.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	128	(+.f64 (.f64 x y) (.f64 z z))
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(fma.f64 x y (*.f64 z z))
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	256	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))

Rules

58×	`accelerator-lowering-fma.f32`
58×	`accelerator-lowering-fma.f64`
36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
30×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	83
1	26	83
2	38	75
3	49	75
4	51	75
0	51	71

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ z z) z) (+ (* x y) (* z z)))
(+ z z)
z
(+ (* x y) (* z z))
x
y
(* z z)
(* x y)
x
y
(* (* z z) 3)
(* z z)
z
3
(+ (* x y) (* z z))
(* x y)
x
y
(* z z)
z
(+ (* 3 (* z z)) (* x y))
3
(* z z)
z
(* x y)
x
y

Outputs
(+ (* (+ z z) z) (+ (* x y) (* z z)))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(+ z z)
(+.f64 z z)
z
(+ (* x y) (* z z))
(fma.f64 x y (*.f64 z z))
x
y
(* z z)
(*.f64 z z)
(* x y)
(*.f64 x y)
x
y
(* (* z z) 3)
(.f64 z (.f64 z #s(literal 3 binary64)))
(* z z)
(*.f64 z z)
z
3
#s(literal 3 binary64)
(+ (* x y) (* z z))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
z
(+ (* 3 (* z z)) (* x y))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
3
#s(literal 3 binary64)
(* z z)
(*.f64 z z)
z
(* x y)
(*.f64 x y)
x
y

localize47.0ms (0.7%)

Memory

33.2MiB live, 112.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.6%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.7%	(+.f64 (.f64 x y) (.f64 z z))
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.8%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
✓	accuracy	99.6%	(fma.f64 x y (*.f64 z z))

Samples

28.0ms

256×

valid

Compiler

Compiled 77 to 15 computations (80.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 8.0ms (60.8% of total)

ival-add: 4.0ms (30.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory

-25.4MiB live, 12.9MiB allocated

Counts

8 → 204

Calls

Call 1

Inputs
#<alt (+ (* (+ z z) z) (+ (* x y) (* z z)))>
#<alt (+ z z)>
#<alt (+ (* x y) (* z z))>
#<alt (* z z)>
#<alt (* x y)>
#<alt (* (* z z) 3)>
#<alt (+ (* x y) (* z z))>
#<alt (+ (* 3 (* z z)) (* x y))>

Outputs
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))>
#<alt (+ (* 2 (pow z 2)) (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))>
#<alt (* x y)>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>

Calls

51 calls:

Time	Variable		Point	Expression
1.0ms	z	@	-inf	(+ (* (+ z z) z) (+ (* x y) (* z z)))
0.0ms	z	@	inf	(+ z z)
0.0ms	z	@	inf	(* (* z z) 3)
0.0ms	z	@	inf	(+ (* (+ z z) z) (+ (* x y) (* z z)))
0.0ms	z	@	0	(+ z z)

rewrite129.0ms (2%)

Memory

10.1MiB live, 90.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

652×	`accelerator-lowering-fma.f32`
652×	`accelerator-lowering-fma.f64`
406×	`-lowering-.f32`
406×	`-lowering-.f64`
208×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	68	48
0	651	43

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

8 → 115

Calls

Call 1

Inputs
(+ (* (+ z z) z) (+ (* x y) (* z z)))
(+ z z)
(+ (* x y) (* z z))
(* z z)
(* x y)
(* (* z z) 3)
(+ (* x y) (* z z))
(+ (* 3 (* z z)) (* x y))

Outputs
(+.f64 (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(+.f64 (*.f64 x y) (fma.f64 z z (+.f64 z z)))
(+.f64 (*.f64 z z) (fma.f64 x y (+.f64 z z)))
(+.f64 (fma.f64 z z (*.f64 x y)) (+.f64 z z))
(+.f64 (fma.f64 x y (+.f64 z z)) (*.f64 z z))
(+.f64 (fma.f64 z #s(literal 2 binary64) (.f64 z z)) (.f64 x y))
(-.f64 (/.f64 (.f64 (+.f64 z z) (+.f64 z z)) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))) (/.f64 (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))))
(fma.f64 z z (fma.f64 x y (+.f64 z z)))
(fma.f64 z (+.f64 z z) (fma.f64 z z (*.f64 x y)))
(fma.f64 z #s(literal 2 binary64) (fma.f64 z z (*.f64 x y)))
(fma.f64 (+.f64 z z) z (fma.f64 z z (*.f64 x y)))
(fma.f64 x y (fma.f64 z z (+.f64 z z)))
(fma.f64 y x (fma.f64 z z (+.f64 z z)))
(fma.f64 #s(literal 2 binary64) z (fma.f64 z z (*.f64 x y)))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (fma.f64 z z (.f64 x y)))
(fma.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y))))) (+.f64 z z))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z (.f64 x y)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (fma.f64 z z (*.f64 x y)))
(fma.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (.f64 z z))) (+.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (fma.f64 x y (+.f64 z z)))
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))))) (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z))))
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))))) (fma.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y)) (-.f64 (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (+.f64 z z) (fma.f64 z z (*.f64 x y))))))
(/.f64 (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y)))))) (neg.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y)))) (neg.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x y (+.f64 z z)) #s(literal 3 binary64)) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (fma.f64 x y (+.f64 z z)) (.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z))) (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y)) (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 x y)))))
(/.f64 (-.f64 (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))) (.f64 (+.f64 z z) (+.f64 z z))) (-.f64 (fma.f64 z z (*.f64 x y)) (+.f64 z z)))
(/.f64 (-.f64 (.f64 (fma.f64 x y (+.f64 z z)) (fma.f64 x y (+.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (fma.f64 x y (+.f64 z z)) (*.f64 z z)))
(.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (fma.f64 z z (.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 z z (.f64 x y)) (-.f64 (fma.f64 z z (.f64 x y)) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z)))))
(.f64 (.f64 (fma.f64 z z (fma.f64 x y (+.f64 z z))) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 z z #s(literal 0 binary64)) (.f64 x y))))
(+.f64 z z)
(+.f64 (.f64 z z) (.f64 z z))
(-.f64 (/.f64 (.f64 z z) #s(literal 0 binary64)) (/.f64 (.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))))
(/.f64 (.f64 z (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(*.f64 z (+.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 (+.f64 z z) z)
(*.f64 #s(literal 2 binary64) z)
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (.f64 x y) (.f64 z z))
(+.f64 (.f64 z z) (.f64 x y))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z))))
(fma.f64 z z (*.f64 x y))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 z z))))))
(/.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z)))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z)))) (neg.f64 (-.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z)))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 z z) (.f64 x y)))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y))))))
(.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z z))))
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(*.f64 x y)
(*.f64 y x)
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(+.f64 (.f64 x y) (.f64 z z))
(+.f64 (.f64 z z) (.f64 x y))
(-.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z))))
(fma.f64 z z (*.f64 x y))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (*.f64 z z))))))
(/.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (-.f64 (.f64 x y) (.f64 z z)))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))))) (neg.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z)))) (neg.f64 (-.f64 (.f64 x y) (.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (*.f64 z z)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x y) (.f64 z z)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z)))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 z z) (.f64 x y)))
(.f64 (fma.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 z z) (-.f64 (.f64 z z) (.f64 x y)) (.f64 x (.f64 y (.f64 x y))))))
(.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 x y) (.f64 z z))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 x y) (*.f64 z z))))
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 y (.f64 x (.f64 x y)) (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y))))) (neg.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64))) (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)) (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y))))))
(/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64))) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 (.f64 z z) (.f64 z (.f64 z (.f64 z z)))) #s(literal 27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64))) (.f64 (.f64 z (.f64 z (*.f64 z z))) #s(literal 9 binary64)))))
(.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))

simplify415.0ms (6.6%)

Memory

-6.3MiB live, 511.1MiB allocated

Algorithm

1×	egg-herbie

Rules

8 632×	`accelerator-lowering-fma.f32`
8 632×	`accelerator-lowering-fma.f64`
3 898×	`-lowering-.f32`
3 898×	`-lowering-.f64`
1 204×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	1192
1	246	1192
2	752	1192
3	2172	1192
4	5648	1192
0	8258	1084

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(+ (* 2 (pow z 2)) (pow z 2))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(* x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))

Outputs
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x (+ y (+ (* 2 (/ (pow z 2) x)) (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) x)))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (+ (* x y) (pow z 2)))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* y (+ x (+ (* 2 (/ (pow z 2) y)) (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* y (+ (* -1 x) (* -1 (/ (+ (* 2 (pow z 2)) (pow z 2)) y)))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))

eval42.0ms (0.7%)

Memory: -1.2MiB live, 116.1MiB allocated
Compiler: Compiled 4 789 to 257 computations (94.6% saved)

prune22.0ms (0.4%)

Memory

31.8MiB live, 70.8MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	413	6	419
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	417	9	426

Accuracy

100.0%

Counts

426 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.2%	(fma.f64 (+.f64 z z) z (*.f64 z z))
▶	79.4%	(fma.f64 (+.f64 z z) z (*.f64 x y))
▶	78.8%	(fma.f64 z z (*.f64 x y))
✓	98.4%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
	36.8%	(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))
✓	52.1%	(.f64 (.f64 z z) #s(literal 3 binary64))
▶	52.1%	(.f64 (.f64 z #s(literal 3 binary64)) z)
▶	32.3%	(*.f64 z z)
✓	57.7%	(*.f64 x y)

Compiler

Compiled 175 to 103 computations (41.1% saved)

simplify13.0ms (0.2%)

Memory

-28.3MiB live, 11.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	256	(fma.f64 (+.f64 z z) z (*.f64 z z))
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(fma.f64 z z (*.f64 x y))
✓	cost-diff	0	(*.f64 z #s(literal 3 binary64))
✓	cost-diff	0	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	cost-diff	0	(*.f64 z z)
✓	cost-diff	0	(*.f64 x y)
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	0	(fma.f64 (+.f64 z z) z (*.f64 x y))

Rules

36×	`accelerator-lowering-fma.f32`
36×	`accelerator-lowering-fma.f64`
30×	`-lowering-.f32`
30×	`-lowering-.f64`
24×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
1	25	57
2	35	57
3	40	57
0	40	55

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (+ z z) z) (* x y))
(+ z z)
z
(* x y)
x
y
(* z z)
z
(* (* z 3) z)
(* z 3)
z
3
(+ (* z z) (* x y))
z
(* x y)
x
y
(+ (* (+ z z) z) (* z z))
(+ z z)
z
(* z z)

Outputs
(+ (* (+ z z) z) (* x y))
(fma.f64 z (+.f64 z z) (*.f64 x y))
(+ z z)
(+.f64 z z)
z
(* x y)
(*.f64 x y)
x
y
(* z z)
(*.f64 z z)
z
(* (* z 3) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(* z 3)
(*.f64 z #s(literal 3 binary64))
z
3
#s(literal 3 binary64)
(+ (* z z) (* x y))
(fma.f64 z z (*.f64 x y))
z
(* x y)
(*.f64 x y)
x
y
(+ (* (+ z z) z) (* z z))
(.f64 (.f64 z z) #s(literal 3 binary64))
(+ z z)
(+.f64 z z)
z
(* z z)
(*.f64 z z)

localize43.0ms (0.7%)

Memory

5.7MiB live, 84.4MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	99.9%	(fma.f64 (+.f64 z z) z (*.f64 z z))
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.8%	(fma.f64 z z (*.f64 x y))
✓	accuracy	100.0%	(*.f64 z #s(literal 3 binary64))
✓	accuracy	99.8%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	accuracy	100.0%	(*.f64 z z)
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	100.0%	(*.f64 x y)
✓	accuracy	98.8%	(fma.f64 (+.f64 z z) z (*.f64 x y))

Samples

26.0ms

256×

valid

Compiler

Compiled 60 to 15 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (57.3% of total)

ival-add: 4.0ms (32.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.2MiB live, 6.3MiB allocated

Counts

8 → 156

Calls

Call 1

Inputs
#<alt (+ (* (+ z z) z) (* x y))>
#<alt (+ z z)>
#<alt (* x y)>
#<alt (* z z)>
#<alt (* (* z 3) z)>
#<alt (* z 3)>
#<alt (+ (* z z) (* x y))>
#<alt (+ (* (+ z z) z) (* z z))>

Outputs
#<alt (* x y)>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 2 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 2 (pow z 2))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (+ (* 2 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 2 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (* x y)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (pow z 2)>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* 3 z)>
#<alt (* x y)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x (+ y (/ (pow z 2) x)))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))>
#<alt (pow z 2)>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (+ (* x y) (pow z 2))>
#<alt (* x y)>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* y (+ x (/ (pow z 2) y)))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>
#<alt (* 3 (pow z 2))>

Calls

39 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(* z 3)
0.0ms	z	@	0	(* z 3)
0.0ms	z	@	inf	(* z 3)
0.0ms	z	@	0	(+ (* (+ z z) z) (* z z))
0.0ms	z	@	inf	(+ (* (+ z z) z) (* z z))

rewrite96.0ms (1.5%)

Memory

-9.8MiB live, 102.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

628×	`accelerator-lowering-fma.f32`
628×	`accelerator-lowering-fma.f64`
264×	`-lowering-.f32`
264×	`-lowering-.f64`
178×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	63	36
0	538	34

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

8 → 145

Calls

Call 1

Inputs
(+ (* (+ z z) z) (* x y))
(+ z z)
(* x y)
(* z z)
(* (* z 3) z)
(* z 3)
(+ (* z z) (* x y))
(+ (* (+ z z) z) (* z z))

Outputs
(+.f64 (+.f64 z z) (*.f64 x y))
(+.f64 (*.f64 x y) (+.f64 z z))
(-.f64 (/.f64 (.f64 (+.f64 z z) (+.f64 z z)) (-.f64 (+.f64 z z) (.f64 x y))) (/.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (+.f64 z z) (.f64 x y))))
(fma.f64 z (+.f64 z z) (*.f64 x y))
(fma.f64 z #s(literal 2 binary64) (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) (.f64 z z) (.f64 x y))
(fma.f64 (+.f64 z z) (.f64 z (.f64 z z)) (*.f64 x y))
(fma.f64 x y (+.f64 z z))
(fma.f64 y x (+.f64 z z))
(fma.f64 (.f64 z z) (+.f64 z z) (.f64 x y))
(fma.f64 #s(literal 2 binary64) z (*.f64 x y))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 x y))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 x y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 x y))
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z))))
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (fma.f64 x (.f64 y (.f64 x y)) (-.f64 (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (+.f64 z z) (*.f64 x y)))))
(/.f64 (.f64 (fma.f64 x y (+.f64 z z)) (-.f64 (+.f64 z z) (.f64 x y))) (-.f64 (+.f64 z z) (*.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y))))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (+.f64 z z)) (*.f64 (+.f64 z z) (+.f64 z z)))))
(/.f64 (neg.f64 (.f64 (fma.f64 x y (+.f64 z z)) (-.f64 (+.f64 z z) (.f64 x y)))) (neg.f64 (-.f64 (+.f64 z z) (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z))) (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (*.f64 x y))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 z z) (.f64 x y)) (.f64 (fma.f64 x y (+.f64 z z)) (-.f64 (+.f64 z z) (*.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (+.f64 z z) (+.f64 z z))) (-.f64 (*.f64 x y) (+.f64 z z)))
(.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (+.f64 z z)) (.f64 (+.f64 z z) (+.f64 z z)))))
(.f64 (.f64 (fma.f64 x y (+.f64 z z)) (-.f64 (+.f64 z z) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 z z) (.f64 x y))))
(+.f64 z z)
(+.f64 (.f64 z z) (.f64 z z))
(-.f64 (/.f64 (.f64 z z) #s(literal 0 binary64)) (/.f64 (.f64 z z) #s(literal 0 binary64)))
(fma.f64 z z (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 z z))
(/.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 z z))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))))
(/.f64 (.f64 z (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) z) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) z) #s(literal 0 binary64))
(*.f64 z (+.f64 z z))
(*.f64 z #s(literal 2 binary64))
(*.f64 (+.f64 z z) z)
(.f64 (+.f64 z z) (.f64 z z))
(.f64 (+.f64 z z) (.f64 z (*.f64 z z)))
(.f64 (.f64 z z) (+.f64 z z))
(*.f64 #s(literal 2 binary64) z)
(.f64 #s(literal 2 binary64) (.f64 z z))
(.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 x y)
(*.f64 y x)
(exp.f64 (*.f64 (log.f64 z) #s(literal 2 binary64)))
(pow.f64 z #s(literal 2 binary64))
(*.f64 z z)
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(+.f64 (+.f64 z z) (*.f64 z z))
(+.f64 (*.f64 z z) (+.f64 z z))
(-.f64 (/.f64 (.f64 (+.f64 z z) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z #s(literal 0 binary64))))
(fma.f64 z z (+.f64 z z))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 z #s(literal 2 binary64) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 (+.f64 z z) (.f64 z z) (.f64 z z))
(fma.f64 (+.f64 z z) (.f64 z (.f64 z z)) (*.f64 z z))
(fma.f64 (.f64 z z) (+.f64 z z) (.f64 z z))
(fma.f64 #s(literal 2 binary64) z (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 z z))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 z z))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (+.f64 z z))
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (-.f64 (fma.f64 (+.f64 z z) (+.f64 z z) (.f64 z (.f64 z (*.f64 z z)))) (+.f64 z z)))
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (*.f64 (+.f64 z z) (+.f64 z z)) (+.f64 z z))))
(/.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 (fma.f64 (+.f64 z z) (+.f64 z z) (.f64 z (.f64 z (*.f64 z z)))) (+.f64 z z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 z z) (+.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 z z)) (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (+.f64 z z) (+.f64 z z))) (-.f64 (*.f64 z z) (+.f64 z z)))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 z z) (+.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 z z))))
(.f64 (.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(+.f64 z (+.f64 z z))
(+.f64 (+.f64 z z) z)
(fma.f64 z (+.f64 z z) z)
(fma.f64 z #s(literal 2 binary64) z)
(fma.f64 (+.f64 z z) z z)
(fma.f64 (+.f64 z z) (*.f64 z z) z)
(fma.f64 (+.f64 z z) (.f64 z (.f64 z z)) z)
(fma.f64 (*.f64 z z) (+.f64 z z) z)
(fma.f64 #s(literal 2 binary64) z z)
(fma.f64 #s(literal 2 binary64) (*.f64 z z) z)
(fma.f64 (*.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) z)
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) z)
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 z (.f64 z z))) (fma.f64 (+.f64 z z) (+.f64 z z) (-.f64 (.f64 z z) (+.f64 z z))))
(/.f64 (-.f64 (.f64 (+.f64 z z) (+.f64 z z)) (.f64 z z)) (-.f64 (+.f64 z z) z))
(*.f64 z #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) z)
(+.f64 (.f64 x y) (.f64 z z))
(+.f64 (.f64 z z) (.f64 x y))
(-.f64 (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 (.f64 z z) (.f64 x y))) (/.f64 (.f64 (.f64 x y) (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y))))
(fma.f64 z z (*.f64 x y))
(fma.f64 x y (*.f64 z z))
(fma.f64 y x (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (*.f64 x y))
(/.f64 (fma.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z)))))
(/.f64 (fma.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 x (.f64 y (.f64 x y)) (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (.f64 (*.f64 z z) x) y))))
(/.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y))) (-.f64 (.f64 z z) (.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (neg.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 z (.f64 z (*.f64 z z))))))
(/.f64 (neg.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y)))) (neg.f64 (-.f64 (.f64 z z) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 z (.f64 z (.f64 z z)))) (fma.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 z z) (.f64 x y)) (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 z (.f64 z z)))) (-.f64 (.f64 x y) (.f64 z z)))
(.f64 (fma.f64 (.f64 x y) (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x y) (-.f64 (.f64 x y) (.f64 z z)) (.f64 z (.f64 z (.f64 z z))))))
(.f64 (.f64 (fma.f64 z z (.f64 x y)) (-.f64 (.f64 z z) (.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 z z) (*.f64 x y))))
(+.f64 (+.f64 z z) (*.f64 z z))
(+.f64 (*.f64 z z) (+.f64 z z))
(-.f64 (/.f64 (.f64 (+.f64 z z) (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (.f64 z (.f64 z (.f64 z z))) (fma.f64 z z #s(literal 0 binary64))))
(fma.f64 z z (+.f64 z z))
(fma.f64 z (+.f64 z z) (*.f64 z z))
(fma.f64 z #s(literal 2 binary64) (*.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 (+.f64 z z) (.f64 z z) (.f64 z z))
(fma.f64 (+.f64 z z) (.f64 z (.f64 z z)) (*.f64 z z))
(fma.f64 (.f64 z z) (+.f64 z z) (.f64 z z))
(fma.f64 #s(literal 2 binary64) z (*.f64 z z))
(fma.f64 #s(literal 2 binary64) (.f64 z z) (.f64 z z))
(fma.f64 (.f64 (fma.f64 z z #s(literal 0 binary64)) (+.f64 z z)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))) (.f64 z z))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 z z))
(fma.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)) (+.f64 z z))
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (-.f64 (fma.f64 (+.f64 z z) (+.f64 z z) (.f64 z (.f64 z (*.f64 z z)))) (+.f64 z z)))
(/.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (fma.f64 z (.f64 z (.f64 z z)) (-.f64 (*.f64 (+.f64 z z) (+.f64 z z)) (+.f64 z z))))
(/.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (neg.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))))) (neg.f64 (-.f64 (fma.f64 (+.f64 z z) (+.f64 z z) (.f64 z (.f64 z (*.f64 z z)))) (+.f64 z z))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 z z) (+.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 z z)) (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (*.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (*.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 (+.f64 z z) (+.f64 z z))) (-.f64 (*.f64 z z) (+.f64 z z)))
(.f64 z (.f64 z #s(literal 3 binary64)))
(.f64 (.f64 z z) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (fma.f64 (+.f64 z z) (.f64 (+.f64 z z) (+.f64 z z)) (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (+.f64 z z) (+.f64 z z) (.f64 z (.f64 z (.f64 z z)))) (+.f64 z z))))
(.f64 (.f64 (fma.f64 z z (+.f64 z z)) (fma.f64 z z #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))

simplify377.0ms (6%)

Memory

-6.5MiB live, 404.5MiB allocated

Algorithm

1×	egg-herbie

Rules

7 122×	`accelerator-lowering-fma.f32`
7 122×	`accelerator-lowering-fma.f64`
3 712×	`-lowering-.f32`
3 712×	`-lowering-.f64`
1 410×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	794
1	166	794
2	480	794
3	1227	794
4	2808	794
5	5035	794
0	8107	740

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
(* x y)
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x (+ y (* 2 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(* 2 (pow z 2))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(+ (* 2 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* y (+ x (* 2 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(* x y)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(pow z 2)
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* 3 z)
(* x y)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x (+ y (/ (pow z 2) x)))
(* x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(pow z 2)
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(+ (* x y) (pow z 2))
(* x y)
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* y (+ x (/ (pow z 2) y)))
(* x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))
(* 3 (pow z 2))

Outputs
(* x y)
(*.f64 x y)
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* (pow z 2) (+ 2 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* x (+ y (* 2 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* -1 (* x (+ (* -2 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* 2 (pow z 2))
(.f64 #s(literal 2 binary64) (.f64 z z))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(+ (* 2 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* y (+ x (* 2 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* -1 (* y (+ (* -2 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 2 binary64) (.f64 z z)))
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* 2 z)
(*.f64 #s(literal 2 binary64) z)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(* x y)
(*.f64 x y)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(pow z 2)
(*.f64 z z)
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* 3 z)
(*.f64 z #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(* (pow z 2) (+ 1 (/ (* x y) (pow z 2))))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x (+ y (/ (pow z 2) x)))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* x (+ (* -1 y) (* -1 (/ (pow z 2) x)))))
(fma.f64 x y (*.f64 z z))
(pow z 2)
(*.f64 z z)
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(+ (* x y) (pow z 2))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* y (+ x (/ (pow z 2) y)))
(fma.f64 x y (*.f64 z z))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* -1 (* y (+ (* -1 x) (* -1 (/ (pow z 2) y)))))
(fma.f64 x y (*.f64 z z))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))
(* 3 (pow z 2))
(.f64 (.f64 z z) #s(literal 3 binary64))

eval60.0ms (1%)

Memory: 23.7MiB live, 100.4MiB allocated
Compiler: Compiled 3 975 to 268 computations (93.3% saved)

prune52.0ms (0.8%)

Memory

5.8MiB live, 47.0MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	377	1	378
Fresh	0	1	1
Picked	0	5	5
Done	0	3	3
Total	377	10	387

Accuracy

100.0%

Counts

387 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(fma.f64 (+.f64 z z) z (*.f64 z z))
✓	79.4%	(fma.f64 (+.f64 z z) z (*.f64 x y))
▶	27.1%	(fma.f64 z z (+.f64 z z))
✓	78.8%	(fma.f64 z z (*.f64 x y))
✓	98.4%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
▶	36.8%	(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))
✓	52.1%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	52.1%	(.f64 (.f64 z #s(literal 3 binary64)) z)
✓	32.3%	(*.f64 z z)
✓	57.7%	(*.f64 x y)

Compiler

Compiled 109 to 65 computations (40.4% saved)

simplify443.0ms (7.1%)

Memory

-5.9MiB live, 203.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 z z)
✓	cost-diff	64	(fma.f64 z z (+.f64 z z))
✓	cost-diff	0	(.f64 z (.f64 z (*.f64 z z)))
✓	cost-diff	0	(.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64))
✓	cost-diff	0	(-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (*.f64 x y))))
✓	cost-diff	256	(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))

Rules

2 912×	`accelerator-lowering-fma.f32`
2 912×	`accelerator-lowering-fma.f64`
2 168×	`-lowering-.f32`
2 168×	`-lowering-.f64`
1 984×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	103
1	50	93
2	131	93
3	306	93
4	628	93
5	1125	93
6	2390	93
7	3667	93
8	3997	93
9	4163	93
10	4196	93
11	4198	93
12	5958	93
13	6693	93
14	6717	93
15	6765	93
16	6809	93
17	6809	93
18	6809	93
19	6893	93
20	6930	93
21	6939	93
22	6939	93
23	7083	93
24	7591	93
25	7591	93
0	7591	91

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- (* (* z (* z (* z z))) 9) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
(- (* (* z (* z (* z z))) 9) (* x (* y (* x y))))
(* (* z (* z (* z z))) 9)
(* z (* z (* z z)))
z
(* z (* z z))
(* z z)
9
(* x (* y (* x y)))
x
(* y (* x y))
y
(* x y)
(- (* (* z z) 3) (* x y))
(* (* z z) 3)
3
(+ (* z z) (+ z z))
z
(+ z z)

Outputs
(/ (- (* (* z (* z (* z z))) 9) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
(/.f64 (fma.f64 (.f64 z z) (.f64 z (.f64 z #s(literal -9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 z (.f64 z #s(literal -3 binary64)) (.f64 x y)))
(- (* (* z (* z (* z z))) 9) (* x (* y (* x y))))
(-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (*.f64 x y))))
(* (* z (* z (* z z))) 9)
(.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)))
(* z (* z (* z z)))
(.f64 z (.f64 z (*.f64 z z)))
z
(* z (* z z))
(.f64 z (.f64 z z))
(* z z)
(*.f64 z z)
9
#s(literal 9 binary64)
(* x (* y (* x y)))
(.f64 x (.f64 y (*.f64 x y)))
x
(* y (* x y))
(.f64 y (.f64 x y))
y
(* x y)
(*.f64 x y)
(- (* (* z z) 3) (* x y))
(-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(* (* z z) 3)
(.f64 (.f64 z z) #s(literal 3 binary64))
3
#s(literal 3 binary64)
(+ (* z z) (+ z z))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
z
(+ z z)
(+.f64 z z)

localize63.0ms (1%)

Memory

-19.5MiB live, 136.7MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 z z (+.f64 z z))
✓	accuracy	100.0%	(+.f64 z z)
✓	accuracy	97.9%	(-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
✓	accuracy	94.4%	(.f64 x (.f64 y (*.f64 x y)))
✓	accuracy	92.4%	(-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (*.f64 x y))))
✓	accuracy	46.8%	(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))

Samples

35.0ms

256×

valid

Compiler

Compiled 114 to 20 computations (82.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 17.0ms (73.1% of total)

ival-sub: 2.0ms (8.6% of total)

ival-div: 2.0ms (8.6% of total)

ival-add: 2.0ms (8.6% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory

-6.4MiB live, 30.8MiB allocated

Counts

8 → 180

Calls

Call 1

Inputs
#<alt (/ (- (* (* z (* z (* z z))) 9) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))>
#<alt (- (* (* z (* z (* z z))) 9) (* x (* y (* x y))))>
#<alt (* (* z (* z (* z z))) 9)>
#<alt (* z (* z (* z z)))>
#<alt (+ (* z z) (+ z z))>
#<alt (+ z z)>
#<alt (* x (* y (* x y)))>
#<alt (- (* (* z z) 3) (* x y))>

Outputs
#<alt (* x y)>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x (+ y (* 3 (/ (pow z 2) x))))>
#<alt (* x y)>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (+ (* 3 (pow z 2)) (* x y))>
#<alt (* x y)>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* y (+ x (* 3 (/ (pow z 2) y))))>
#<alt (* x y)>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* 9 (pow z 4))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))>
#<alt (* 9 (pow z 4))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))>
#<alt (* 9 (pow z 4))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* -1 (* (pow x 2) (pow y 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (* 9 (pow z 4))>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (pow z 4)>
#<alt (* 2 z)>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (* z (+ 2 z))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (pow z 2)>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* (pow z 2) (+ 1 (* 2 (/ 1 z))))>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* 2 z)>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* (pow x 2) (pow y 2))>
#<alt (* -1 (* x y))>
#<alt (- (* 3 (pow z 2)) (* x y))>
#<alt (- (* 3 (pow z 2)) (* x y))>
#<alt (- (* 3 (pow z 2)) (* x y))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* 3 (pow z 2))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (* -1 (* x y))>
#<alt (* x (- (* 3 (/ (pow z 2) x)) y))>
#<alt (* x (- (* 3 (/ (pow z 2) x)) y))>
#<alt (* x (- (* 3 (/ (pow z 2) x)) y))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))>
#<alt (* 3 (pow z 2))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (+ (* -1 (* x y)) (* 3 (pow z 2)))>
#<alt (* -1 (* x y))>
#<alt (* y (- (* 3 (/ (pow z 2) y)) x))>
#<alt (* y (- (* 3 (/ (pow z 2) y)) x))>
#<alt (* y (- (* 3 (/ (pow z 2) y)) x))>
#<alt (* -1 (* x y))>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))>
#<alt (* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))>

Calls

45 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(/ (- (* (* z (* z (* z z))) 9) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
2.0ms	y	@	0	(- (* (* z z) 3) (* x y))
1.0ms	z	@	0	(/ (- (* (* z (* z (* z z))) 9) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
1.0ms	y	@	0	(/ (- (* (* z (* z (* z z))) 9) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
1.0ms	z	@	inf	(/ (- (* (* z (* z (* z z))) 9) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))

rewrite74.0ms (1.2%)

Memory

33.0MiB live, 152.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

900×	`accelerator-lowering-fma.f32`
900×	`accelerator-lowering-fma.f64`
596×	`-lowering-.f32`
596×	`-lowering-.f64`
322×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	78
1	102	50
0	941	49

Stop Event

1×	iter limit
1×	iter limit
1×	node limit

Counts

8 → 201

Calls

Call 1

Inputs
(/ (- (* (* z (* z (* z z))) 9) (* x (* y (* x y)))) (- (* (* z z) 3) (* x y)))
(- (* (* z (* z (* z z))) 9) (* x (* y (* x y))))
(* (* z (* z (* z z))) 9)
(* z (* z (* z z)))
(+ (* z z) (+ z z))
(+ z z)
(* x (* y (* x y)))
(- (* (* z z) 3) (* x y))

Outputs
(+.f64 (.f64 x y) (.f64 (*.f64 z z) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))
(+.f64 (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))))
(-.f64 (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))
(fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))
(fma.f64 z (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))))
(fma.f64 (.f64 z z) #s(literal 3 binary64) (.f64 x y))
(fma.f64 #s(literal 9 binary64) (/.f64 (.f64 z (.f64 z (.f64 z z))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))))
(fma.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))))
(fma.f64 x y (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 y x (.f64 (.f64 z z) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 (.f64 z (.f64 z (.f64 z z))) (/.f64 #s(literal 9 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))))
(fma.f64 (.f64 z #s(literal 3 binary64)) z (.f64 x y))
(fma.f64 (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal 27 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 (.f64 x y) (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y)))) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))))
(fma.f64 (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y)) (neg.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))))
(neg.f64 (/.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (neg.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))))
(/.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))
(/.f64 (neg.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))) (neg.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))))
(/.f64 (fma.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (neg.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)) (fma.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (*.f64 x y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)) (.f64 x (.f64 y (.f64 x y))))) (.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (neg.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) #s(literal 1 binary64)) (.f64 (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))))) (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))))
(/.f64 (fma.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal 27 binary64) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 z z) (.f64 #s(literal 3 binary64) (.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (fma.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (.f64 (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))) (.f64 (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))))) (fma.f64 z (/.f64 (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (/.f64 (.f64 x (.f64 y (.f64 x y))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))))
(/.f64 (.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))
(/.f64 (.f64 (fma.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (neg.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))) (fma.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (*.f64 x y)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y))) #s(literal -1 binary64))
(.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y))))
(.f64 (neg.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (*.f64 x y)))))
(.f64 #s(literal 1 binary64) (fma.f64 z (.f64 z #s(literal 3 binary64)) (*.f64 x y)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y))) (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (*.f64 x y)))))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 (.f64 z (.f64 z z)) (.f64 z (.f64 z z))) #s(literal 27 binary64)) (.f64 (.f64 x y) (.f64 x (.f64 y (.f64 x y)))))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 (.f64 x y) (fma.f64 z (.f64 z #s(literal 3 binary64)) (.f64 x y)))))
(.f64 (/.f64 (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 z (.f64 z #s(literal 3 binary64)) (*.f64 x y)))
(+.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (neg.f64 (.f64 x (.f64 y (*.f64 x y)))))
(+.f64 (neg.f64 (.f64 x (.f64 y (.f64 x y)))) (.f64 z (.f64 (.f64 z (*.f64 z z)) #s(literal 9 binary64))))
(-.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 x (.f64 y (*.f64 x y))))
(-.f64 (/.f64 (.f64 (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64))) (fma.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)))) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y))))) (fma.f64 (.f64 x (.f64 y (.f64 x y))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) (.f64 z (.f64 z (.f64 z z)))) #s(literal 81 binary64)) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y))))) (/.f64 (.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 x (.f64 y (.f64 x y)))) (fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (.f64 x (.f64 y (*.f64 x y))))))
(fma.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64)) (neg.f64 (.f64 x (.f64 y (.f64 x y)))))
(fma.f64 z (.f64 (.f64 z #s(literal 3 binary64)) (.f64 (.f64 z z) #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (*.f64 x y)))))
(fma.f64 (.f64 z z) (.f64 (.f64 z #s(literal 3 binary64)) (.f64 z #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (*.f64 x y)))))
(fma.f64 (.f64 z z) (.f64 #s(literal 3 binary64) (.f64 (.f64 z z) #s(literal 3 binary64))) (neg.f64 (.f64 x (.f64 y (*.f64 x y)))))
(fma.f64 (.f64 z z) (.f64 (.f64 z z) #s(literal 9 binary64)) (neg.f64 (.f64 x (.f64 y (.f64 x y)))))
(fma.f64 (.f64 z (.f64 z z)) (.f64 z #s(literal 9 binary64)) (neg.f64 (.f64 x (.f64 y (.f64 x y)))))
(fma.f64 #s(literal 9 binary64) (.f64 z (.f64 z (.f64 z z))) (neg.f64 (.f64 x (.f64 y (.f64 x y)))))
(fma.f64 x (neg.f64 (.f64 y (.f64 x y))) (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))))
(fma.f64 (.f64 x y) (neg.f64 (.f64 x y)) (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))))
(fma.f64 (.f64 y (.f64 x y)) (neg.f64 x) (.f64 z (.f64 (.f64 z (.f64 z z)) #s(literal 9 binary64))))
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simplify623.0ms (9.9%)

Memory

-38.5MiB live, 447.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 966×	`accelerator-lowering-fma.f32`
6 966×	`accelerator-lowering-fma.f64`
4 892×	`-lowering-.f32`
4 892×	`-lowering-.f64`
1 938×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	1374
1	231	1374
2	622	1374
3	2871	1374
4	7190	1374
0	8221	1347

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* x y)
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x (+ y (* 3 (/ (pow z 2) x))))
(* x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(+ (* 3 (pow z 2)) (* x y))
(* x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* y (+ x (* 3 (/ (pow z 2) y))))
(* x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(* 9 (pow z 4))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* 9 (pow z 4))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(* 9 (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(* 9 (pow z 4))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(* 9 (pow z 4))
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(pow z 4)
(* 2 z)
(* z (+ 2 z))
(* z (+ 2 z))
(* z (+ 2 z))
(pow z 2)
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(pow z 2)
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* 2 z)
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* (pow x 2) (pow y 2))
(* -1 (* x y))
(- (* 3 (pow z 2)) (* x y))
(- (* 3 (pow z 2)) (* x y))
(- (* 3 (pow z 2)) (* x y))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* 3 (pow z 2))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(* 3 (pow z 2))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(* -1 (* x y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(* -1 (* x y))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(* 3 (pow z 2))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(* -1 (* x y))
(* y (- (* 3 (/ (pow z 2) y)) x))
(* y (- (* 3 (/ (pow z 2) y)) x))
(* y (- (* 3 (/ (pow z 2) y)) x))
(* -1 (* x y))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))

Outputs
(* x y)
(*.f64 x y)
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (/ (* x y) (pow z 2))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x (+ y (* 3 (/ (pow z 2) x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x (+ (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* 3 (pow z 2)) (* x y))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* y (+ x (* 3 (/ (pow z 2) y))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x y)
(*.f64 x y)
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* y (+ (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x y (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* (pow x 2) (pow y 2)))
(.f64 x (.f64 x (*.f64 y (neg.f64 y))))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(- (* 9 (pow z 4)) (* (pow x 2) (pow y 2)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* (pow z 4) (+ 9 (* -1 (/ (* (pow x 2) (pow y 2)) (pow z 4)))))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* -1 (* (pow x 2) (pow y 2)))
(.f64 x (.f64 x (*.f64 y (neg.f64 y))))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x x)) (*.f64 y y)))
(* -1 (* (pow x 2) (pow y 2)))
(.f64 x (.f64 x (*.f64 y (neg.f64 y))))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x x)) (*.f64 y y)))
(* (pow x 2) (- (* 9 (/ (pow z 4) (pow x 2))) (pow y 2)))
(.f64 (.f64 x x) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 x x)) (*.f64 y y)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(+ (* -1 (* (pow x 2) (pow y 2))) (* 9 (pow z 4)))
(fma.f64 x (.f64 x (.f64 y (neg.f64 y))) (*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))))
(* -1 (* (pow x 2) (pow y 2)))
(.f64 x (.f64 x (*.f64 y (neg.f64 y))))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y)) (*.f64 x x)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y)) (*.f64 x x)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y)) (*.f64 x x)))
(* -1 (* (pow x 2) (pow y 2)))
(.f64 x (.f64 x (*.f64 y (neg.f64 y))))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y)) (*.f64 x x)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y)) (*.f64 x x)))
(* (pow y 2) (- (* 9 (/ (pow z 4) (pow y 2))) (pow x 2)))
(.f64 (.f64 y y) (-.f64 (/.f64 (.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64))) (.f64 y y)) (*.f64 x x)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(* 9 (pow z 4))
(*.f64 #s(literal 9 binary64) (pow.f64 z #s(literal 4 binary64)))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(pow z 4)
(pow.f64 z #s(literal 4 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* z (+ 2 z))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(* z (+ 2 z))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(* z (+ 2 z))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(pow z 2)
(*.f64 z z)
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(* (pow z 2) (+ 1 (* 2 (/ 1 z))))
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* 2 z)
(*.f64 z #s(literal 2 binary64))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* (pow x 2) (pow y 2))
(.f64 x (.f64 x (*.f64 y y)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(- (* 3 (pow z 2)) (* x y))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(- (* 3 (pow z 2)) (* x y))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(- (* 3 (pow z 2)) (* x y))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* (pow z 2) (+ 3 (* -1 (/ (* x y) (pow z 2)))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* x (- (* 3 (/ (pow z 2) x)) y))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x (- (* 3 (/ (pow z 2) x)) y))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* x (- (* 3 (/ (pow z 2) x)) y))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x (- (* -3 (/ (pow z 2) x)) (* -1 y))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* 3 (pow z 2))
(.f64 #s(literal 3 binary64) (.f64 z z))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(+ (* -1 (* x y)) (* 3 (pow z 2)))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* y (- (* 3 (/ (pow z 2) y)) x))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* y (- (* 3 (/ (pow z 2) y)) x))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* y (- (* 3 (/ (pow z 2) y)) x))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* x y))
(*.f64 x (neg.f64 y))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))
(* -1 (* y (- (* -3 (/ (pow z 2) y)) (* -1 x))))
(fma.f64 x (neg.f64 y) (.f64 #s(literal 3 binary64) (.f64 z z)))

eval95.0ms (1.5%)

Memory: 18.7MiB live, 93.1MiB allocated
Compiler: Compiled 9 672 to 587 computations (93.9% saved)

prune39.0ms (0.6%)

Memory

-6.5MiB live, 113.6MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	378	3	381
Fresh	0	0	0
Picked	2	0	2
Done	0	8	8
Total	380	11	391

Accuracy

100.0%

Counts

391 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.2%	(fma.f64 (+.f64 z z) z (*.f64 z z))
✓	79.4%	(fma.f64 (+.f64 z z) z (*.f64 x y))
✓	78.8%	(fma.f64 z z (*.f64 x y))
✓	98.4%	(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
	17.5%	(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal 3 binary64) (*.f64 z z)))
	27.1%	(+.f64 (fma.f64 z z z) z)
✓	52.1%	(.f64 (.f64 z z) #s(literal 3 binary64))
✓	52.1%	(.f64 (.f64 z #s(literal 3 binary64)) z)
	27.1%	(*.f64 z (+.f64 z #s(literal 2 binary64)))
✓	32.3%	(*.f64 z z)
✓	57.7%	(*.f64 x y)

Compiler

Compiled 301 to 112 computations (62.8% saved)

regimes38.0ms (0.6%)

Memory

19.1MiB live, 100.5MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (.f64 #s(literal 3 binary64) (*.f64 z z)))
(/.f64 (-.f64 (.f64 (.f64 z (.f64 z (.f64 z z))) #s(literal 9 binary64)) (.f64 x (.f64 y (.f64 x y)))) (-.f64 (.f64 (.f64 z z) #s(literal 3 binary64)) (.f64 x y)))
(/.f64 (-.f64 (.f64 x (.f64 y (.f64 x y))) (.f64 (.f64 #s(literal 3 binary64) (.f64 z z)) (.f64 #s(literal 3 binary64) (.f64 z z)))) (-.f64 (.f64 x y) (.f64 #s(literal 3 binary64) (*.f64 z z))))

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))

Calls

6 calls:

7.0ms	y
6.0ms	(*.f64 x y)
6.0ms	x
6.0ms	z
6.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
99.6%	1	`(*.f64 x y)`
99.6%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes77.0ms (1.2%)

Memory

4.6MiB live, 83.3MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))

Outputs
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))

Calls

6 calls:

35.0ms	(*.f64 z z)
22.0ms	z
5.0ms	x
5.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	y

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`z`
98.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.7%	1	`(*.f64 x y)`
98.7%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes31.0ms (0.5%)

Memory

-19.9MiB live, 68.9MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))

Outputs
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))

Calls

6 calls:

7.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
5.0ms	(*.f64 z z)
5.0ms	x
4.0ms	y
4.0ms	z

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
98.4%	1	`(*.f64 x y)`
98.4%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes26.0ms (0.4%)

Memory

-5.9MiB live, 72.2MiB allocated

Counts

11 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))

Outputs
(fma.f64 (+.f64 z z) z (*.f64 x y))
(fma.f64 (+.f64 z z) z (*.f64 z z))

Calls

6 calls:

5.0ms	y
5.0ms	(*.f64 x y)
4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
4.0ms	x
4.0ms	z

Results

Accuracy	Segments	Branch
84.2%	3	`x`
84.2%	3	`y`
87.0%	2	`z`
83.9%	3	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
86.6%	3	`(*.f64 x y)`
87.0%	2	`(*.f64 z z)`

Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes8.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))
(fma.f64 (+.f64 z z) z (*.f64 x y))

Outputs
(fma.f64 (+.f64 z z) z (*.f64 x y))
(.f64 (.f64 z z) #s(literal 3 binary64))

Calls

2 calls:

4.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
87.0%	2	`z`
87.0%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.1%)

Memory

-16.7MiB live, 20.6MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))
(fma.f64 z z (*.f64 x y))
(+.f64 (.f64 x y) (.f64 z z))

Outputs
(fma.f64 z z (*.f64 x y))
(.f64 (.f64 z z) #s(literal 3 binary64))

Calls

2 calls:

3.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
86.7%	2	`z`
86.7%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes6.0ms (0.1%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)
(.f64 (.f64 z z) #s(literal 3 binary64))

Outputs
(*.f64 x y)
(.f64 (.f64 z z) #s(literal 3 binary64))

Calls

2 calls:

3.0ms	z
3.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
85.0%	2	`z`
85.0%	2	`(*.f64 z z)`

Compiler

Compiled 10 to 7 computations (30% saved)

regimes11.0ms (0.2%)

Memory

-21.1MiB live, 21.1MiB allocated

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))
(.f64 (.f64 z #s(literal 3 binary64)) z)

Outputs
(*.f64 x y)
(.f64 (.f64 z #s(literal 3 binary64)) z)

Calls

3 calls:

5.0ms	(*.f64 z z)
3.0ms	z
3.0ms	(*.f64 x y)

Results

Accuracy	Segments	Branch
75.4%	3	`(*.f64 x y)`
85.0%	2	`z`
85.0%	2	`(*.f64 z z)`

Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes14.0ms (0.2%)

Memory

-10.4MiB live, 28.0MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 x y)
(*.f64 z z)
(*.f64 z (+.f64 z #s(literal 2 binary64)))
(+.f64 (fma.f64 z z z) z)
(fma.f64 z z (+.f64 z z))

Outputs
(*.f64 x y)
(*.f64 z z)

Calls

5 calls:

4.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
2.0ms	x
2.0ms	z
2.0ms	y
2.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
71.4%	2	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
57.7%	1	`y`
57.7%	1	`x`
76.5%	2	`z`
76.2%	2	`(*.f64 z z)`

Compiler

Compiled 36 to 21 computations (41.7% saved)

regimes5.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 x y)

Outputs
(*.f64 x y)

Calls

4 calls:

1.0ms	z
1.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))
1.0ms	(*.f64 x y)
1.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
57.7%	1	`(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z z)) (.f64 z z)) (.f64 z z))`
57.7%	1	`(*.f64 x y)`
57.7%	1	`(*.f64 z z)`
57.7%	1	`z`

Compiler

Compiled 34 to 19 computations (44.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.436214404066061e+146	1.0549865522205426e+147

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.436214404066061e+146	1.0549865522205426e+147

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.436214404066061e+146	1.0549865522205426e+147

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.436214404066061e+146	1.0549865522205426e+147

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.436214404066061e+146	1.0549865522205426e+147

Compiler

Compiled 17 to 14 computations (17.6% saved)

bsearch14.0ms (0.2%)

Memory

-17.7MiB live, 18.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.6627931574334527e+155	4.6322692101862804e+159

Samples

6.0ms

128×

valid

Compiler

Compiled 133 to 94 computations (29.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (60.7% of total)

ival-add: 1.0ms (30.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory

14.6MiB live, 14.6MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	128
1	33	128

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (fma.f64 z z (.f64 x y)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (.f64 x y) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 z #s(literal 269999999999999993601614554844289135769681111304786438283082447344163416780963721983403971343417608148623826869889677064629012344474025425950741706672439296 binary64)) (.f64 x y) (.f64 z z))
(*.f64 x y)

Outputs
(fma.f64 (+.f64 z z) z (fma.f64 x y (*.f64 z z)))
(fma.f64 z (+.f64 (+.f64 z z) z) (*.f64 x y))
(fma.f64 z (+.f64 z (+.f64 z z)) (*.f64 x y))
(fma.f64 #s(literal 3 binary64) (.f64 z z) (.f64 x y))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (fma.f64 (+.f64 z z) z (*.f64 z z)))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (fma.f64 (+.f64 z z) z (.f64 x y)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (fma.f64 z z (.f64 x y)) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (.f64 x y) (.f64 (.f64 z z) #s(literal 3 binary64)))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (.f64 x y) (.f64 (.f64 z #s(literal 3 binary64)) z))
(if (<=.f64 (.f64 z z) #s(literal 399999999999999973453466919889848968444078777271384730315704015582479494600573681037194049813300218132071108299721531164231622769709598852710924288 binary64)) (.f64 x y) (.f64 z (.f64 z #s(literal 3 binary64))))
(if (<=.f64 z #s(literal 269999999999999993601614554844289135769681111304786438283082447344163416780963721983403971343417608148623826869889677064629012344474025425950741706672439296 binary64)) (.f64 x y) (.f64 z z))
(*.f64 x y)

soundness949.0ms (15.1%)

Memory

4.7MiB live, 524.9MiB allocated

Rules

10 458×	`accelerator-lowering-fma.f32`
10 458×	`accelerator-lowering-fma.f64`
8 632×	`accelerator-lowering-fma.f32`
8 632×	`accelerator-lowering-fma.f64`
8 428×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	952
1	244	844
2	752	844
3	2138	844
4	5699	844
0	8153	763
0	8	36
1	50	32
2	512	26
3	7569	26
0	8173	23
0	13	50
1	68	48
0	651	43
0	70	1192
1	246	1192
2	752	1192
3	2172	1192
4	5648	1192
0	8258	1084

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 343 to 155 computations (54.8% saved)

preprocess83.0ms (1.3%)

Memory

-12.0MiB live, 180.4MiB allocated

Remove

(sort x y)

(abs z)

Compiler

Compiled 434 to 144 computations (66.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

sample948.0ms (15.1%)

preprocess66.0ms (1.1%)

explain150.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize31.0ms (0.5%)

series7.0ms (0.1%)

rewrite674.0ms (10.7%)

simplify277.0ms (4.4%)

eval77.0ms (1.2%)

prune98.0ms (1.6%)

simplify8.0ms (0.1%)

localize47.0ms (0.7%)

series6.0ms (0.1%)

rewrite129.0ms (2%)

simplify415.0ms (6.6%)

eval42.0ms (0.7%)

prune22.0ms (0.4%)

simplify13.0ms (0.2%)

localize43.0ms (0.7%)

series3.0ms (0%)

rewrite96.0ms (1.5%)

simplify377.0ms (6%)

eval60.0ms (1%)

prune52.0ms (0.8%)

simplify443.0ms (7.1%)

localize63.0ms (1%)

series14.0ms (0.2%)

rewrite74.0ms (1.2%)

simplify623.0ms (9.9%)

eval95.0ms (1.5%)

prune39.0ms (0.6%)

regimes38.0ms (0.6%)

regimes77.0ms (1.2%)

regimes31.0ms (0.5%)

regimes26.0ms (0.4%)

regimes8.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

regimes11.0ms (0.2%)

regimes14.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

simplify8.0ms (0.1%)

soundness949.0ms (15.1%)

preprocess83.0ms (1.3%)

end0.0ms (0%)

Profiling